Long-Term Growth As A Sequence of Exponential Modes

A world product time series covering two million years is well fit by either a sum of four exponentials, or a constant elasticity of substitution (CES) combination of three exponential growth modes: “hunting,” “farming,” and “industry.” The CES parameters suggest that farming substituted for hunting, while industry complemented farming, making the industrial revolution a smoother transition. Each mode grew world product by a factor of a few hundred, and grew a hundred times faster than its predecessor. This weakly suggests that within the next century a new mode might appear with a doubling time measured in days, not years. JEL Categories: O00, N10

[1]  Heinz von Foerster,et al.  Doomsday: Friday, 13 November, A.D. 2026 , 1960 .

[2]  E. Deevey,et al.  The human population. , 1960, Scientific American.

[3]  The Economic History of World Population , 1963 .

[4]  D. Price Little Science, Big Science , 1965 .

[5]  L. V. Valen,et al.  A new evolutionary law , 1973 .

[6]  T. C. Edens,et al.  Economic Growth , 1957, The Journal of Economic History.

[7]  Colin McEvedy,et al.  Atlas of world population history , 1979 .

[8]  Exponential evolution: implications for intelligent extraterrestrial life. , 1983, Advances in space research : the official journal of the Committee on Space Research.

[9]  K. Weiss On the number of members of the genus Homo who have ever lived, and some evolutionary implications. , 1984, Human Biology: The Official Publication of the American Association of Anthropological Genetics.

[10]  R. Lee,et al.  Induced population growth and induced technological progress: their interaction in the accelerating stage. , 1988, Mathematical population studies.

[11]  Ronald Lee,et al.  Long-Run Global Population Forecasts: A Critical Appraisal , 1990 .

[12]  H. J. Jerison Brain size and the evolution of mind , 1991 .

[13]  Massimo Livi Bacci,et al.  A Concise History of World Population , 1992 .

[14]  Robert B. Barsky,et al.  Why Does the Stock Market Fluctuate? , 1992 .

[15]  M. Kremer Population Growth and Technological Change: One Million B.C. to 1990 , 1993 .

[16]  Marvin Goodfriend,et al.  Early Development , 1994 .

[17]  M. Livi-bacci,et al.  A Concise History of World Population , 1993 .

[18]  L. Jorde,et al.  Genetic evidence on modern human origins. , 1995, Human biology.

[19]  A. Maddison,et al.  Monitoring the world economy, 1820-1992 , 1995 .

[20]  Sergei P Kapitza,et al.  The phenomenological theory of world population growth , 1996 .

[21]  R. Kates,et al.  Population, technology, and the human environment: a thread through time. , 1996, Daedalus.

[22]  D. Pimentel,et al.  How many people can the earth support , 1997 .

[23]  Global income divergence, trade and industrialization , 1998 .

[24]  Hans P. Moravec When will computer hardware match the human brain , 1998 .

[25]  E. Helpman General purpose technologies and economic growth , 1998 .

[26]  J. Relethford Genetics of Modern Human Origins and Diversity , 1998, The International Encyclopedia of Anthropology.

[27]  Philippe Martin,et al.  Global Income Divergence, Trade and Industrialization: The Geography of Growth Take-Offs , 1998, World Scientific Studies in International Economics.

[28]  David N. Weil,et al.  Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond , 1998 .

[29]  E. Prescott,et al.  Malthus to Solow , 1998, Working paper series.

[30]  A Prskawetz,et al.  A model on the escape from the Malthusian trap , 1998, Journal of population economics.

[31]  R. Kurzweil The Age of Spiritual Machines , 1999 .

[32]  Jesse H. Ausubel,et al.  Carrying Capacity: A Model with Logistically Varying Limits , 1999 .

[33]  C. I. Jones,et al.  Was an Industrial Revolution Inevitable? Economic Growth Over the Very Long Run , 1999 .

[34]  M. Newman,et al.  Extinction, diversity and survivorship of taxa in the fossil record , 1998, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[35]  S. Pääbo,et al.  Mitochondrial genome variation and the origin of modern humans , 2000, Nature.

[36]  R. Lucas Some Macroeconomics for the 21st Century , 2000 .

[37]  M. Wolpoff,et al.  Population bottlenecks and Pleistocene human evolution. , 2000, Molecular biology and evolution.

[38]  R. Hanson Economic Growth Given Machine Intelligence , 2000 .

[39]  Finite-time singularity in the dynamics of the world population, economic and financial indices , 2000, cond-mat/0002075.